Duality for symmetric second rank tensors. II. The linearized gravitational field

Details Duality for symmetric second rank tensors. II. The linearized gravitational field Duality for symmetric second rank tensors. II. The linearized gravitational field

2003-04-26

arxiv.org/abs/hep-th/0304228v1

Phys.Rev. D68 (2003) 065011

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, no figures

Scientific paper

10.1103/PhysRevD.68.065011

The construction of dual theories for linearized gravity in four dimensions is considered. Our approach is based on the parent Lagrangian method previously developed for the massive spin-two case, but now considered for the zero mass case. This leads to a dual theory described in terms of a rank two symmetric tensor, analogous to the usual gravitational field, and an auxiliary antisymmetric field. This theory has an enlarged gauge symmetry, but with an adequate partial gauge fixing it can be reduced to a gauge symmetry similar to the standard one of linearized gravitation. We present examples illustrating the general procedure and the physical interpretation of the dual fields. The zero mass case of the massive theory dual to the massive spin-two theory is also examined, but we show that it only contains a spin-zero excitation.

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